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Finding the Fourth Proportional to 4,578.93, 6,853.68 and 2,384.64

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Solution

The fourth proportional to 4,578.93, 6,853.68 and 2,384.64 is: 3,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.93 : 6,853.68 = 2,384.64 : x
  2. Step 2: Convert to fraction form
    4,578.93/6,853.68 = 2,384.64/x
  3. Step 3: Cross multiply
    4,578.93x = 6,853.68 × 2,384.64
  4. Step 4: Simplify right side
    4,578.93x = 16,343,559.48
  5. Step 5: Solve for x
    x = 16,343,559.48/4,578.93
  6. Step 6: Final answer
    x = 3,569.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.